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Simplifying 5(-1v) + -1v = 2(v + 1) Remove parenthesis around (-1v) 5 * -1v + -1v = 2(v + 1) Multiply 5 * -1 -5v + -1v = 2(v + 1) Combine like terms: -5v + -1v = -6v -6v = 2(v + 1) Reorder the terms: -6v = 2(1 + v) -6v = (1 * 2 + v * 2) -6v = (2 + 2v) Solving -6v = 2 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -6v + -2v = 2 + 2v + -2v Combine like terms: -6v + -2v = -8v -8v = 2 + 2v + -2v Combine like terms: 2v + -2v = 0 -8v = 2 + 0 -8v = 2 Divide each side by '-8'. v = -0.25 Simplifying v = -0.25
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